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120212020 = 22573137601
BaseRepresentation
bin1110010101001…
…00101000110100
322101012101220001
413022210220310
5221233241040
615532321044
72656533235
oct712445064
9271171801
10120212020
1161947085
1234313184
131bb9c596
1411d7308c
15a84859a
hex72a4a34

120212020 has 48 divisors (see below), whose sum is σ = 258200208. Its totient is φ = 47001600.

The previous prime is 120211979. The next prime is 120212023. The reversal of 120212020 is 20212021.

It can be written as a sum of positive squares in 8 ways, for example, as 4477456 + 115734564 = 2116^2 + 10758^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120211988 and 120212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199720 + ... + 200320.

It is an arithmetic number, because the mean of its divisors is an integer number (5379171).

Almost surely, 2120212020 is an apocalyptic number.

120212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212020 is an abundant number, since it is smaller than the sum of its proper divisors (137988188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120212020 is a wasteful number, since it uses less digits than its factorization.

120212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120212020 is about 10964.1242240318. The cubic root of 120212020 is about 493.5327363300.

Adding to 120212020 its reverse (20212021), we get a palindrome (140424041).

Subtracting from 120212020 its reverse (20212021), we obtain a palindrome (99999999).

It can be divided in two parts, 12021 and 2020, that added together give a palindrome (14041).

The spelling of 120212020 in words is "one hundred twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 601 685 730 1202 1370 1460 2404 2740 3005 6010 10001 12020 20002 40004 43873 50005 82337 87746 100010 164674 175492 200020 219365 329348 411685 438730 823370 877460 1646740 6010601 12021202 24042404 30053005 60106010 120212020